Results 31 to 40 of about 5,816,652 (357)
A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
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On warped product gradient Yamabe solitons [PDF]
Journal of Mathematical Analysis and Applications, 2018 14 pages, 1 ...
Willian Isáo Tokura +3 more
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Warped Poisson brackets on warped products
Journal of Geometric Mechanics, 2014 In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure. We construct three bivector fields on a product manifold and show that each of them lead under certain ...
Amrane, Yacine Aït +2 more
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Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products
Advances in Mathematical Physics, 2021 In this paper, applying the weak maximum principle, we obtain the uniqueness results for the hypersurfaces under suitable geometric restrictions on the weighted mean curvature immersed in a weighted Riemannian warped product I×ρMfn whose fiber M has f ...
Ning Zhang
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On conformally symmetric warped products
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004 We prove the necessary and sufficient conditions for a warped product manifold to be conformally symmetric. Basing on these results we give two examples of such warped products.
Marian Hotloś
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Bakry-Émery Ricci Curvature Bounds for Doubly Warped Products of Weighted Spaces. [PDF]
J Geom Anal, 2022 We introduce a notion of doubly warped product of weighted graphs that is consistent with the doubly warped product in the Riemannian setting. We establish various discrete Bakry–Émery Ricci curvature-dimension bounds for such warped products in terms of
Fathi Z, Lakzian S.
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Sobolev spaces on warped products [PDF]
Journal of Functional Analysis, 2018 We study the structure of Sobolev spaces on the cartesian/warped products of a given metric measure space and an interval. Our main results are: – the characterization of the Sobolev spaces in such products,– the proof that, under natural assumptions ...
Bang-Xian Han +3 more
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On Bernstein-Type Theorems in Semi-Riemannian Warped Products [PDF]
Advances in Mathematical Physics, 2013 Complete spacelike hypersurfaces immersed in semi-Riemannian warped products are investigated. By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type ...
Wenjie Wang, Ximin Liu
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New Bernstein Type Results in Weighted Warped Products
Journal of Mathematics, 2021 In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products.
Ning Zhang
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Stable Minimal Surfaces in Riemannian Warped Products [PDF]
, 2017 We obtain several stability results forminimal two-sided surfaces immersed in a wide class of 3-dimensional Riemannian warped products, which includes the class of Riemannian products. As a consequence, some Bernstein-type results are provided. Moreover,
Aledo, Juan A., Rubio, Rafael M.
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